Question

given triangle ABC congruent to triangle pqr of a b a point P Q is equals to 1 by 3 then find Triangles find area of triangle ABC upon Triangle pqr

Answer 1

We know if two triangle, say ABC and PQR, have the same area, then

area of triangle ABC/area of triangle PQR = AB2/PQ2 = BC2/QR2 = AC2/PR2

Applying this formula here, we get

81/169 = 7.22/PR2

81 * PR2 = 169 * 7.22

81 * PR2 = 169 * 51.84

=> PR2 = 8760.96/81

PR2 = 108.16

=> PR = root 108.16 = 10.4 cms

Therefore length of PR = 10.4 cms

Answer 2

Answer:since the triangles are congruent(similar) to each other, we calculate the linear scale factor(lsf) on respective edges of the triangle which gives 1:3,Thus the area relationship of the two congruent triangles is found by squaring the lsf which gives 1:9,thus area of triangle ABC upon triangle PQR is 1/9.

Step-by-step explanation: